Premium
Mixed explicit‐implicit iterative finite element scheme for diffusion‐type problems: II. Solution strategy and examples
Author(s) -
Narasimhan T. N.,
Neuman S. P.,
Edwards A. L.
Publication year - 1977
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620110208
Subject(s) - convergence (economics) , finite element method , scheme (mathematics) , stability (learning theory) , computer science , mathematics , mathematical optimization , iterative method , type (biology) , algorithm , mathematical analysis , ecology , biology , economics , thermodynamics , economic growth , physics , machine learning
In Part I 1 of this paper we have established local stability and convergence criteria for the mixed explicit‐implicit finite element scheme and have shown that the proposed iterative method converges under certain conditions. Part II describes various practical aspects of the solution strategy such as convergence criteria for terminating the iterations, automatic control of time step size, reclassification of nodes from explicit to implicit during execution, estimation of time derivatives, and automatic adjustment of the implicit weight factor. Several examples are included to demonstrate certain aspects of the theory and illustrate the capabilities of the new approach.